Fractional part of square root of a(n) starts with 2: first term of runs.

Terms

a(0) =5a(1) =18a(2) =28a(3) =39a(4) =52a(5) =68a(6) =85a(7) =105a(8) =126a(9) =149a(10) =175a(11) =202a(12) =232a(13) =263a(14) =296a(15) =332a(16) =369a(17) =409a(18) =450a(19) =493a(20) =539a(21) =586a(22) =636a(23) =687a(24) =740a(25) =796a(26) =853a(27) =913a(28) =974a(29) =1037